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Finding the Fourth Proportional to 409,374.50, 613,382.89 and 248,965.24

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Solution

The fourth proportional to 409,374.50, 613,382.89 and 248,965.24 is: 373,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,374.50 : 613,382.89 = 248,965.24 : x
  2. Step 2: Convert to fraction form
    409,374.50/613,382.89 = 248,965.24/x
  3. Step 3: Cross multiply
    409,374.50x = 613,382.89 × 248,965.24
  4. Step 4: Simplify right side
    409,374.50x = 152,711,018,420.74
  5. Step 5: Solve for x
    x = 152,711,018,420.74/409,374.50
  6. Step 6: Final answer
    x = 373,035.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.